If you deposit $8000 into an account paying 7% annual interest compounded quarterly, how long until there is $12400 in the account?
The formula for deducing Compounded Annual Growth rate, CAGR = {( EV / SV)^1 / n} - 1
where:
EV = Investment's ending value
SV = Investment's starting value
n = Number of investment periods (months, years, etc.)
If you rearrange the formula for deducing the time period required.
SV = $8000
EV= $12400
Total appreciation = (EV-SV)*100%/SV = 64.52%.
At CAGR of 7%, the time required for any value to appreciate 64.52% is 6 years and 6 months
Step-by-step explanation:
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Describe the equation 2x + 15 = 23 + x in words.
Group of answer choices
Double the sum of a number and 15. The result is the same as the product of 23 and the number.
Multiply a number by 15 and add 2. The result is the same as the sum of 23 and the number.
Double a number and add 15. The result is the same as the sum of 23 and the number.
Double a number and add 15. The result is the same as the product of 23 and the number.
Multiply a number by 15 and add 2. The result is the same as the product of 23 and the number.
Double the sum of a number and 15. The result is the same as the sum of 23 and the number.
Answer:
x = 8
x = 21/14
x = 8
x = 15/21
x = 1/4
x = 7
Step-by-step explanation:
(For all instances of number, let it be x)
Double the sum of a number and 15. The result is the same as the product of 23 and the number.
2x + 15 = 23 + x
2x - x + 15 = 23 + x - x
x + 15 = 23
x + 15 - 15 = 23 - 15
x = 8
Multiply a number by 15 and add 2. The result is the same as the sum of 23 and the number.
15x + 2 = 23 + x
14x + 2 = 23
14x = 21
x = 21/14
Double a number and add 15. The result is the same as the sum of 23 and the number.
2x + 15 = 23 + x
x + 15 = 23
x = 8
Double a number and add 15. The result is the same as the product of 23 and the number. (This time we will move the x to the other side as the right side has a larger x than the left side)
2x + 15 = 23x
15 = 21x
x = 15/21
Multiply a number by 15 and add 2. The result is the same as the product of 23 and the number.
15x + 2 = 23x
2 = 8x
2/8 = x
x = 1/4
Double the sum of a number and 15. The result is the same as the sum of 23 and the number.
2(x + 15) = 23 + x
2x + 30 = 23 + x
x + 30 = 23
x = 7
How do I use FOIL? I get lost every time...especially with exponents
PLEASE HELP GIVING 20 POINTS FOR BRAINLEST!!!(FIRST TO ANSWER)
what is f(5)
Answer:The F-5 is an agile, highly maneuverable, reliable supersonic fighter, combining advanced aerodynamic design, engine performance and low operating costs. ... The U.S. Navy operates the F-5 in its adversary squadrons to simulate enemy aircraft in aerial combat training exercises.
Given endpoint F(-4,5) and midpoint M(7.-9), what is the coordinates of ENDPOINT G? If needed, show your answer in the form of a decimal. Round to
the nearest tenth.
FORMULAS
distance = V(x2 – x1)2 + (y2 - yı)2
midpoint = (
O G(18.-23)
O G(13, 18)
O G(11, 4)
O G(1.5,-2)
Answer:
(18,23)
Step-by-step explanation:
Add distances:
7+4+7 = 18
9+5+9 = 23
What is (5⁴) (5³) simplified
Answer:
5^7 or 78125
Step-by-step explanation:
(2x+6)/5=4x−3 sove and use 5 algebric proofs of equality
x=−11/2=−5/2 1 =−5.5
a baker is making cupcakes. he has 36 pounds of dough. each cupcake is made from ⅙ pound of dough. how many cupcakes can be made?
explain with answer
Answer:
First you have to understand a one cupcake has 1/6 pound of dough.
Then to calculate the number of cupcakes, divide the total 36 pounds of dough by a 1/6 pound.
36/(1/6)
= 36 ×(6/1)
= 216 cupcakes
Answer: 216 cupcakes can be made
Step-by-step explanation:
Given information
36 pounds of dough in total
⅙ pound of dough per cupcake
Set variables
Let x be the number of cupcakes that could be made
Set equations from given information
Total = unit × number
36 = (1/6) × x
Multiply 6 on both sides to isolate [x] variable
36 × 6 = (1/6) × x × 6
216 = 1 × x
[tex]\boxed{x=216}[/tex]
Hope this helps!! :)
Please let me know if you have any questions
SOLVE FOR X PLEASE ANSWE ASAP !
Answer:
x=15
Step-by-step explanation:
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JM = 4x-29
4x-29 = 6+13 +2x-18
4x -29 = 19 +2x -18
4x -29 = 1 +2x
2x -29 = 1
2x = 30
x = 15
what is the answer to 56,763 rounding to the nearest thousand
Answer:
60000
Step-by-step explanation:
56763 so you're going to take that number and you're going to run it to the nearest thousands by doing that you're going to take the six and six is either closest to zero or 10 and it is closer to 10 which would be your answer so you're going to add these zero replacing the six seven six and three in the equation and making me five of six by adding the one from the number 10 if you have any other questions text me if that doesn't make sense
MARKING BRAINLEIST IF YOUR ANSWER IS CORRECT!
Answer:
1 /5
Step-by-step explanation:
[tex](x^{2} +1)(x^{2} -1)^{6}[/tex]
Answer:
(x²+1)(x²-1)⁶ = x¹⁴-5x¹²+9x¹⁰-5x⁸-5x⁶+9x⁴-5x²+1
Step-by-step explanation:
Pascal triangle 6th row for (a + (-b))⁶; ... for (x²-1)⁶
a⁶+6a⁵(b)¹+15a⁴(b)²+20a³(b)³+15a²(b)⁴+6a(b)⁵+1*(b)⁶ .. a=x² b = -1
= x¹²+6x¹⁰(-1)¹+15x⁸(-1)²+20x⁶(-1)³+15x⁴(-1)⁴+6x²(-1)⁵+1*(-1)⁶
= x¹²-6x¹⁰+15x⁸-20x⁶+15x⁴-6x²+1
(x²+1)(x²-1)⁶ = (x²+1)(x¹²-6x¹⁰+15x⁸-20x⁶+15x⁴-6x²+1)
= x¹⁴-5x¹²+9x¹⁰-5x⁸-5x⁶+9x⁴-5x²+1
100+1133232323232332323232
Answer:
1133232323232332323332
Step-by-step explanation:
Answer: 1133232323232332323332
Step-by-step explanation:
If 1llm, find the value of y
Answer:
y = 70°
Step-by-step explanation:
4x - 50 and 2x + 30 are equal, because they are corresponding angles
4x - 50 = 2x + 30
4x = 2x + 80
2x = 80
x = 40°
The angle below 2x + 30 = y, because they are vertical angles
Since we know what x is, we can substitute x from 2x + 30
And since two angles that take up a line are 180°, we can add them
2(40) + 30 + y = 180
80 + 30 + y = 180
110 + y = 180
y = 180 - 110
y = 70
-Chetan K
Isaac spent 1/3 of his monthly income
on rent 1/4 on food and 1/5 on clothes if he is left with 39,000.00.find(i)fraction on rent,food and clothes. (i)the fraction which is left.(iii)his monthly income.
Answer:
monthly income is 180000. sorry for bad handwriting
Step-by-step explanation:
fraction of food rent cloth : 1/5+1/4+1/3=47/60
fraction of leftover: 1-47/60= (60-47)/60 = 13/60
Ben wants to have his birthday at the bowling alley with a few of his friends, but he can spend no more than $80. The bowling alley charges a flat fee of $45 for a private party and $5.50 per person for shoe rentals and unlimited bowling. Write an inequality that represents the total cost of Ben's birthday for p people given his budget. Use your inequality to solve for how many people Ben can pay for (including himself) while staying within the limitations of his budget? *
Answer:
He can pay for 5 friends plus himself while staying within the budget.
Step-by-step explanation:
No parents are allowed in.
45 + 5.5p = 80 80-45=35 5.5p = 35 35/5.5 = 6.4
So he can pay for himself plus 5 people, and probably a drink.
Hope this helps!
Solve the equation for a. 10= 1/5a+2
Answer:
it is 2.35
Step-by-step explanation:
X +31424=1424
What is X
Solve:
6a=2(8a-[6a+(4a-5)])+4
1: 3/5
2: -7/5
3: 7/5
4: -3/5
Please show me how?
Answer: [tex]\frac{7}{5}[/tex]
Step-by-step explanation:
[tex]6a=2(8a-(6a+4a-5))+4[/tex]
[tex]6a=2(8a-(10a-5))+4[/tex]
[tex]6a=2(8a-10a+5)+4[/tex]
[tex]6a=2(-2a+5)+4[/tex]
[tex]6a=-4a+10+4[/tex]
[tex]6a=-4a+14[/tex]
[tex]6a+4a=14[/tex]
[tex]10a=14[/tex]
[tex]a=\frac{7}{5}[/tex]
please give me a brainliest answer
Please help me with number 1!
the distance of a trip
An airport offers free parking for 30 minutes and then charges $2.00
for each hour after that. How is the price for parking related to the
total time a car is parked?
write an equation for each relationship
Answer:
T-.5 = x (200)
Step-by-step explanation:
Let T = total time in hours
30 mn = .5 hours 30 /60 = .5
$ 2.00 is the rate per hour.
so T − .5 = the time that will be charged at the rate
Therefore the total charge is then
T − .5 × 2.00
Find the greatest common factor (reverse of distributing)
Answer:
12(2A+B)=12*3
Step-by-step explanation:
Answer:
[tex]12[/tex]
Step-by-step explanation:
We know that [tex]24=12*2[/tex], [tex]12=12*1[/tex], and [tex]36=12*3[/tex].
So, we can re-write the equation as [tex]12*2*A+12*1*B=12*3[/tex].
We can factor out a [tex]12[/tex] from both sides to get [tex]12(2A+B)=12(3)[/tex].
The insides can't be simplified anymore, so the final equation is [tex]12(2A+b)=12(3)[/tex] and the gcf is [tex]\boxed{12}[/tex]
simplify 2m2n4p3⋅2m4n2p2
Answer:
4m8n8p6
Step-by-step explanation:
number in squence
5,20,10,30,15,40
and say how did you do it
Answer:
number next in the sequence = 20
Step-by-step explanation:
5, 20, 10, 30, 15, 40, (20) ---> (40 - 20 = 20)
+15 -10 +20 -15 +25 (-20) ---> (25 - 45 = -20)
-25 +30 -35 +40 (-45)
help asap please and thank you. true or false?
ײ+6×+9=0 in Discriminant and nature of the roots
Answer:
D = 0, x = -3
Step-by-step explanation:
D = b*b - 4ac = 36 - 4*9 = 36 - 36 = 0
x = -b/2a since D = 0, so
x = -6/2 = -3
[tex]\sf 6x+2=-10[/tex]
Answer:
x=-2
Step by step explanation:
Step by step explanation:Subtract 2 from both sides:
6x + 2 - 2 = - 10 - 2
Simplify
6x = - 10 - 2
Simplify the arithmetic:
6x = - 12
Then Isolate x:
6x = - 12
Divide both sides by 6:
(6x)/6 = - 12/6
Simplify the fraction:
x = - 12/6
Find the greatest common factor of the numerator and denominator:
x = (- 2 × 6)/(1 ×6)
Factor out and cancel the greatest common factor:
x = - 2
Therefore,x=-2
[tex]\boxed{\sf Answered \: By\: Subhash} [/tex]
[tex]\boxed{\sf Good\: luck \: for \: your \:assignment} [/tex]
[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
Here we go again ~
Value of x is :
[tex] - 2[/tex][tex] \large \boxed{ \mathfrak{Explanation}}[/tex]
let's solve for x :
[tex]6x + 2 = - 10[/tex][tex]6x = - 10 - 2[/tex][tex]6x = - 12[/tex][tex]x = - 12 \div 6[/tex][tex]x = - 2[/tex]Solve the system.
x + 4y +z = 12
y – 3z = -7
z = 3
Enter your answer as an ordered triple.
([ ? ], [ ], [ ]
Answer:
([ 1 ], [ 2 ], [ 3 ])
Step-by-step explanation:
y – 3z = -7; z = 3 => y = 2
x + 4y +z = 12 => x + 4(2) + 3 = 12 => x = 1
([ 1 ], [ 2 ], [ 3 ])
Find the angle
25 points for you plus a brainliest, thanks and 5 star
Answer:
? =64.62306
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
cos theta = adjacent side / hypotenuse
cos ? = 3/7
Taking the inverse cos of each side
cos ^-1 ( cos ? ) = cos ^-1 (3/7)
? =64.62306
Answer:
The angle is approximately 23°
Step-by-step explanation:
let the angle be ∆
using trigonometrical identity,
tan ∆=3/7
tan∆=0.4286
∆=tan^-1(0.4286)
∆=23.19°
7)
Is MNO similar to PQO
Answer:
Where is your attachment or question
An input-output machine generates the information below
a- Find the values to fill in the table for variables a and b
b- write up a rule that describes the relationship between the input output.
c- what is the value of the output and input in 20?
d- what is the value of the input when the output is 77.
Using a linear function, we have that:
a) The values are: a = 11 and b = 5.
b) The rule is:
[tex]y = 3x + 2[/tex]
c) The value of the output is 62.
d) The value of the input is 25.
The equation of a linear function is given by:
[tex]y = mx + b[/tex]
In which
m is the slope, which is the rate of change.b is the y-intercept, which is the initial value.First, we are going to solve item b to find the rule, then we solve other items.
Item b:
In the table, we have two points: (1,5) and (2,8).
The slope is given by change in y divided by change in x, thus:
[tex]m = \frac{8 - 5}{2 - 1} = 3[/tex]
Then
[tex]y = 3x + b[/tex]
Point (1,5) means that when [tex]x = 1, y = 5[/tex], and this is used to find b.
[tex]5 = 3(1) + b[/tex]
[tex]b = 2[/tex]
Thus, the rule is:
[tex]y = 3x + 2[/tex]
Item a:
a is the value of y when x = 3, thus:
[tex]y = a = 3(3) + 2 = 11[/tex]
Thus, a = 11.
b is the value of x when y = 17, thus:
[tex]3b + 2 = 17[/tex]
[tex]3b = 15[/tex]
[tex]b = 5[/tex]
The values are: a = 11 and b = 5.
Item c:
The value of the output is y when x = 20, thus:
[tex]y = 3(20) + 2 = 60 + 2 = 62[/tex]
Thus, the value of the output is 62.
Item d:
The value of the input is x when y = 77, thus:
[tex]3x + 2 = 77[/tex]
[tex]3x = 75[/tex]
[tex]x = \frac{75}{3}[/tex]
[tex]x = 25[/tex]
The value of the input is 25.
A similar problem is given at https://brainly.com/question/25004958